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Two vessels contain mixture of milk and water in the ratio of 8 : 1 and 1 :
5 respectively. Find how much be drawn from each vessel to fill third
vessels of capacity 21 gallons in order that the resulting mixture may be
half milk and half water is?
5 respectively. Find how much be drawn from each vessel to fill third
vessels of capacity 21 gallons in order that the resulting mixture may be
half milk and half water is?
Most Upvoted Answer
Two vessels contain mixture of milk and water in the ratio of 8 : 1 an...
Analysis:
- Let x gallons be drawn from the first vessel and y gallons be drawn from the second vessel to fill the third vessel.
- The resulting mixture in the third vessel will be half milk and half water.
- The first vessel has a milk-water ratio of 8 : 1, and the second vessel has a ratio of 1 : 5.
Calculations:
- From the first vessel, the amount of milk drawn = $\dfrac{8}{9}x$
- From the second vessel, the amount of milk drawn = $\dfrac{1}{6}y$
- Total milk in the third vessel = $\dfrac{1}{2} \times 21 = 10.5$ gallons
- Equating the total milk in the third vessel:
$\dfrac{8}{9}x + \dfrac{1}{6}y = 10.5$
- From the first vessel, the amount of water drawn = $\dfrac{1}{9}x$
- From the second vessel, the amount of water drawn = $\dfrac{5}{6}y$
- Total water in the third vessel = $\dfrac{1}{2} \times 21 = 10.5$ gallons
- Equating the total water in the third vessel:
$\dfrac{1}{9}x + \dfrac{5}{6}y = 10.5$
Solving the Equations:
- Solving the above two equations, we get x = 6 gallons and y = 9 gallons.
Conclusion:
- To fill the third vessel with a mixture of half milk and half water, 6 gallons should be drawn from the first vessel and 9 gallons should be drawn from the second vessel.
- Let x gallons be drawn from the first vessel and y gallons be drawn from the second vessel to fill the third vessel.
- The resulting mixture in the third vessel will be half milk and half water.
- The first vessel has a milk-water ratio of 8 : 1, and the second vessel has a ratio of 1 : 5.
Calculations:
- From the first vessel, the amount of milk drawn = $\dfrac{8}{9}x$
- From the second vessel, the amount of milk drawn = $\dfrac{1}{6}y$
- Total milk in the third vessel = $\dfrac{1}{2} \times 21 = 10.5$ gallons
- Equating the total milk in the third vessel:
$\dfrac{8}{9}x + \dfrac{1}{6}y = 10.5$
- From the first vessel, the amount of water drawn = $\dfrac{1}{9}x$
- From the second vessel, the amount of water drawn = $\dfrac{5}{6}y$
- Total water in the third vessel = $\dfrac{1}{2} \times 21 = 10.5$ gallons
- Equating the total water in the third vessel:
$\dfrac{1}{9}x + \dfrac{5}{6}y = 10.5$
Solving the Equations:
- Solving the above two equations, we get x = 6 gallons and y = 9 gallons.
Conclusion:
- To fill the third vessel with a mixture of half milk and half water, 6 gallons should be drawn from the first vessel and 9 gallons should be drawn from the second vessel.
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Two vessels contain mixture of milk and water in the ratio of 8 : 1 and 1 : 5 respectively. Find how much be drawn from each vessel to fill third vessels of capacity 21 gallons in order that the resulting mixture may be half milk and half water is?
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Two vessels contain mixture of milk and water in the ratio of 8 : 1 and 1 : 5 respectively. Find how much be drawn from each vessel to fill third vessels of capacity 21 gallons in order that the resulting mixture may be half milk and half water is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two vessels contain mixture of milk and water in the ratio of 8 : 1 and 1 : 5 respectively. Find how much be drawn from each vessel to fill third vessels of capacity 21 gallons in order that the resulting mixture may be half milk and half water is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two vessels contain mixture of milk and water in the ratio of 8 : 1 and 1 : 5 respectively. Find how much be drawn from each vessel to fill third vessels of capacity 21 gallons in order that the resulting mixture may be half milk and half water is?.
Two vessels contain mixture of milk and water in the ratio of 8 : 1 and 1 : 5 respectively. Find how much be drawn from each vessel to fill third vessels of capacity 21 gallons in order that the resulting mixture may be half milk and half water is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two vessels contain mixture of milk and water in the ratio of 8 : 1 and 1 : 5 respectively. Find how much be drawn from each vessel to fill third vessels of capacity 21 gallons in order that the resulting mixture may be half milk and half water is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two vessels contain mixture of milk and water in the ratio of 8 : 1 and 1 : 5 respectively. Find how much be drawn from each vessel to fill third vessels of capacity 21 gallons in order that the resulting mixture may be half milk and half water is?.
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